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138900048 = 24371014093
BaseRepresentation
bin10000100011101…
…11001001010000
3100200100212001020
420101313021100
5241024300143
621441035440
73304426260
oct1021671120
9320325036
10138900048
1171450731
123a625b80
1322a137a1
14146397a0
15c2da883
hex8477250

138900048 has 80 divisors (see below), whose sum is σ = 414247296. Its totient is φ = 39283200.

The previous prime is 138900043. The next prime is 138900071. The reversal of 138900048 is 840009831.

It is a junction number, because it is equal to n+sod(n) for n = 138899991 and 138900018.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138900043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31890 + ... + 35982.

Almost surely, 2138900048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138900048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207123648).

138900048 is an abundant number, since it is smaller than the sum of its proper divisors (275347248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138900048 is a wasteful number, since it uses less digits than its factorization.

138900048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4212 (or 4206 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 138900048 is about 11785.5864512548. The cubic root of 138900048 is about 517.8859535353.

Adding to 138900048 its reverse (840009831), we get a palindrome (978909879).

The spelling of 138900048 in words is "one hundred thirty-eight million, nine hundred thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 101 112 168 202 303 336 404 606 707 808 1212 1414 1616 2121 2424 2828 4093 4242 4848 5656 8186 8484 11312 12279 16372 16968 24558 28651 32744 33936 49116 57302 65488 85953 98232 114604 171906 196464 229208 343812 413393 458416 687624 826786 1240179 1375248 1653572 2480358 2893751 3307144 4960716 5787502 6614288 8681253 9921432 11575004 17362506 19842864 23150008 34725012 46300016 69450024 138900048